Results 71 to 80 of about 136 (119)
Some applications of quasigroups in cryptology [PDF]
Computer Science Journal of Moldova, 2016 In the paper we present based on quasigroups new deniable encryption method, generalisation of Markovski stream cipher, and generalisation of El-Gamal enciphering system.
N.A. Moldovyan +2 more
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Representation of a gauge field via intrinsic “BRST” operator
Physics Letters B, 2015 We show that there exists a representation of a matrix-valued gauge field via intrinsic “BRST” operator assigned to matrix-valued generators of a gauge algebra. In this way, we reproduce the standard formulation of the ordinary Yang–Mills theory.
Igor A. Batalin, Peter M. Lavrov
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On a quasigroup prolongation and its recursive differentiability
Acta et Commentationes: Ştiinţe Exacte şi ale NaturiiWe consider a method of quasigroups prolongation by adding two new elements and by using two transversals that intersect in exactly one cell. In a Latin square L of order q, along with usual transversals we call "free transversals" any set of q cells ...
Elena Cuznețov
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On a “grouplike” family of quasigroups
Examples and CounterexamplesQuasigroups are algebraic structures in which divisibility is always defined. This paper illustrates some similarities and differences between quasigroup theory and group theory, by singling out a special family of quasigroups which seem to be most ...
Ahmed Al Fares, Gizem Karaali
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Logarithmetics of Finite Quasigroups (I) [PDF]
Proceedings of the Edinburgh Mathematical Society, 1954 The study of non-associative algebras led to the investigation of identities connecting powers of elements of such algebras. Thus Etherington1 (1941, 1949, 1951) introduced the concept of the logarithmetic of an algebra, defining it roughly as “ the arithmetic of the indices of the general element”.
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On the Constant-Depth Circuit Complexity of Generating Quasigroups [PDF]
TheoretiCSWe investigate the constant-depth circuit complexity of the Isomorphism Problem, Minimum Generating Set Problem (MGS), and Sub(quasi)group Membership Problem (Membership) for groups and quasigroups (=Latin squares), given as input in terms of their ...
Nathaniel A. Collins +3 more
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Quasigroups, right quasigroups, coverings and representations
, 2018 For a fixed quasigroup Q, equivalences are established between the following categories: (i) the category of modules over the quasigroup; (ii) the category of representations of a stabilizer in the universal multiplication group; (iii) the category of representations of the fundamental groupoid of the Cayley diagram of the quasigroup in the category of
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, 2011 The article is devoted to linear quasigroups and some of their generalizations. In the first part main definitions and notions of the theory of quasigroups are given. In the second part some elementary properties of linear quasigroups and their generalizations are presented.
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Investigation of Some Cryptographic Properties of the 8x8 S-boxes Created by Quasigroups [PDF]
Computer Science Journal of Moldova, 2020 We investigate several cryptographic properties in 8-bit S-boxes obtained by quasigroups of order 4 and 16 with several different algebraic constructions.
Aleksandra Mileva +3 more
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On free quasigroups and quasigroup representations
, 2018 This work consists of three parts. The discussion begins with \emph{linear quasigroups}. For a unital ring $S$, an $S$-linear quasigroup is a unital $S$-module, with automorphisms $\rho$ and $\lambda$ giving a (nonassociative) multiplication $x\cdot y=x^\rho+y^\lambda$. If $S$ is the field of complex numbers, then ordinary characters provide a complete
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